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Finding the Third Proportional to 306,471,519,804 and 716,055,782,988

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Solution

The third proportional to 306,471,519,804 and 716,055,782,988 is: 1,673,029,470,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,471,519,804 : 716,055,782,988 = 716,055,782,988 : x
  2. Step 2: Convert to fraction form
    306,471,519,804/716,055,782,988 = 716,055,782,988/x
  3. Step 3: Cross multiply
    306,471,519,804x = 716,055,782,988 × 716,055,782,988
  4. Step 4: Simplify right side
    306,471,519,804x = 512,735,884,350,557,754,753,024
  5. Step 5: Solve for x
    x = 512,735,884,350,557,754,753,024/306,471,519,804
  6. Step 6: Final answer
    x = 1,673,029,470,009.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.